complex number doubt

if modulus of z-i is less than 1 then the value of modulus of z+12-6i is less than
a)14 b) 2 c) 28 d) none.

plz show that how to do it???

3 Answers

33
Abhishek Priyam ·

let Point P be -12+6i

so ZP max= PB

PZ<PZmax
PZ<√122+52+1=13+1

14 answer...

33
Abhishek Priyam ·

if for boards..

|z-i|<1
|z-(-12+6i)|=|z-i+12-5i|

|z-i+12-5i|≤|z-i|+|12-5i| ..(|a+b|≤|a|+|b|.. a and b are complex)
|z-i+12-5i|<1+13 ...(as |z-i|<1)
|z-i+12-5i|<14

14 is answer..

1
rashi mathur ·

ya its correct thanks

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